Titlebook: Applied Structural Mechanics; Fundamentals of Elas H. Eschenauer,N. Olhoff,W. Schnell Textbook 1997 Springer-Verlag Berlin Heidelberg 1997

储备

State of strainDescription of the deformation of a body with LAGRANGE’s notation:.The displacement of a material point of a body B is observed as. function of the initial state.

defendant

Problem formulations in the theory of linear elasticityi.e. altogether 15 equations for 15 unknown field quantities (6 stresses .., 6 strains γ., 3 displacements v.).

夜晚

General fundamentals of shellsWe assume that there exist one-to-one relationships between the curvilinear coordinates (GAUSSIAN surface parameters) ξ. (α = 1, 2) and the Cartesian coordinates x. (i = 1, 2, 3) of the points P of a surface (Fig. 11.1).

bisphosphonate

Membrane theory of shells. The stresses ..are uniformly distributed over the thickness, i.e. only so-called membrane forces occur, but . bending moments and . shear forces are found.

bibliophile

State of stresshe body, which is in equilibrium under external loads in the form of volume forces .., surface tractions .. and concentrated forces ... A resulting force Δ . is transmitted at every element Δ A of the cut.

DOLT

Disksl stresses are assumed uniformly distributed over the thickness, i.e. they do not depend on z. We therefore have a State of Plane Stress for which the most important basic equations in Cartesian and in polar coordinates are summarized in the following, where the thickness of the disk is assumed to be constant.

慢跑鞋

Integrate

Algorithms of Mathematical Programming (MP)nding whether the solution algorithm only requires the function values, or also the first and second derivatives of the functions. It will be assumed in this Chapter that in general the functions f, h., g. in . are continuous and at least twice continuously differentiable.

缺乏

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Irrigate

https://doi.org/10.1007/978-3-642-59205-8Analysis; Stab; algorithm; algorithms; mathematical programming; mechanics; model; optimization; programming